EDC_crctable = [
    0x00000000, 0x90910101, 0x91210201, 0x01B00300,
    0x92410401, 0x02D00500, 0x03600600, 0x93F10701,
    0x94810801, 0x04100900, 0x05A00A00, 0x95310B01,
    0x06C00C00, 0x96510D01, 0x97E10E01, 0x07700F00,
    0x99011001, 0x09901100, 0x08201200, 0x98B11301,
    0x0B401400, 0x9BD11501, 0x9A611601, 0x0AF01700,
    0x0D801800, 0x9D111901, 0x9CA11A01, 0x0C301B00,
    0x9FC11C01, 0x0F501D00, 0x0EE01E00, 0x9E711F01,
    0x82012001, 0x12902100, 0x13202200, 0x83B12301,
    0x10402400, 0x80D12501, 0x81612601, 0x11F02700,
    0x16802800, 0x86112901, 0x87A12A01, 0x17302B00,
    0x84C12C01, 0x14502D00, 0x15E02E00, 0x85712F01,
    0x1B003000, 0x8B913101, 0x8A213201, 0x1AB03300,
    0x89413401, 0x19D03500, 0x18603600, 0x88F13701,
    0x8F813801, 0x1F103900, 0x1EA03A00, 0x8E313B01,
    0x1DC03C00, 0x8D513D01, 0x8CE13E01, 0x1C703F00,
    0xB4014001, 0x24904100, 0x25204200, 0xB5B14301,
    0x26404400, 0xB6D14501, 0xB7614601, 0x27F04700,
    0x20804800, 0xB0114901, 0xB1A14A01, 0x21304B00,
    0xB2C14C01, 0x22504D00, 0x23E04E00, 0xB3714F01,
    0x2D005000, 0xBD915101, 0xBC215201, 0x2CB05300,
    0xBF415401, 0x2FD05500, 0x2E605600, 0xBEF15701,
    0xB9815801, 0x29105900, 0x28A05A00, 0xB8315B01,
    0x2BC05C00, 0xBB515D01, 0xBAE15E01, 0x2A705F00,
    0x36006000, 0xA6916101, 0xA7216201, 0x37B06300,
    0xA4416401, 0x34D06500, 0x35606600, 0xA5F16701,
    0xA2816801, 0x32106900, 0x33A06A00, 0xA3316B01,
    0x30C06C00, 0xA0516D01, 0xA1E16E01, 0x31706F00,
    0xAF017001, 0x3F907100, 0x3E207200, 0xAEB17301,
    0x3D407400, 0xADD17501, 0xAC617601, 0x3CF07700,
    0x3B807800, 0xAB117901, 0xAAA17A01, 0x3A307B00,
    0xA9C17C01, 0x39507D00, 0x38E07E00, 0xA8717F01,
    0xD8018001, 0x48908100, 0x49208200, 0xD9B18301,
    0x4A408400, 0xDAD18501, 0xDB618601, 0x4BF08700,
    0x4C808800, 0xDC118901, 0xDDA18A01, 0x4D308B00,
    0xDEC18C01, 0x4E508D00, 0x4FE08E00, 0xDF718F01,
    0x41009000, 0xD1919101, 0xD0219201, 0x40B09300,
    0xD3419401, 0x43D09500, 0x42609600, 0xD2F19701,
    0xD5819801, 0x45109900, 0x44A09A00, 0xD4319B01,
    0x47C09C00, 0xD7519D01, 0xD6E19E01, 0x46709F00,
    0x5A00A000, 0xCA91A101, 0xCB21A201, 0x5BB0A300,
    0xC841A401, 0x58D0A500, 0x5960A600, 0xC9F1A701,
    0xCE81A801, 0x5E10A900, 0x5FA0AA00, 0xCF31AB01,
    0x5CC0AC00, 0xCC51AD01, 0xCDE1AE01, 0x5D70AF00,
    0xC301B001, 0x5390B100, 0x5220B200, 0xC2B1B301,
    0x5140B400, 0xC1D1B501, 0xC061B601, 0x50F0B700,
    0x5780B800, 0xC711B901, 0xC6A1BA01, 0x5630BB00,
    0xC5C1BC01, 0x5550BD00, 0x54E0BE00, 0xC471BF01,
    0x6C00C000, 0xFC91C101, 0xFD21C201, 0x6DB0C300,
    0xFE41C401, 0x6ED0C500, 0x6F60C600, 0xFFF1C701,
    0xF881C801, 0x6810C900, 0x69A0CA00, 0xF931CB01,
    0x6AC0CC00, 0xFA51CD01, 0xFBE1CE01, 0x6B70CF00,
    0xF501D001, 0x6590D100, 0x6420D200, 0xF4B1D301,
    0x6740D400, 0xF7D1D501, 0xF661D601, 0x66F0D700,
    0x6180D800, 0xF111D901, 0xF0A1DA01, 0x6030DB00,
    0xF3C1DC01, 0x6350DD00, 0x62E0DE00, 0xF271DF01,
    0xEE01E001, 0x7E90E100, 0x7F20E200, 0xEFB1E301,
    0x7C40E400, 0xECD1E501, 0xED61E601, 0x7DF0E700,
    0x7A80E800, 0xEA11E901, 0xEBA1EA01, 0x7B30EB00,
    0xE8C1EC01, 0x7850ED00, 0x79E0EE00, 0xE971EF01,
    0x7700F000, 0xE791F101, 0xE621F201, 0x76B0F300,
    0xE541F401, 0x75D0F500, 0x7460F600, 0xE4F1F701,
    0xE381F801, 0x7310F900, 0x72A0FA00, 0xE231FB01,
    0x71C0FC00, 0xE151FD01, 0xE0E1FE01, 0x7070FF00,
    ]

L2sq = [
    [    0, 44719, 16707, 61420, 33414, 11305, 50117, 28010,
      6417, 47038, 22610, 63229, 39831, 13624, 56020, 29819,
     12834, 40077, 29537, 56782, 45220,  7691, 61927, 24392,
     11059, 34204, 27248, 50399, 43445,  1818, 59638, 18009,
     25668, 51947,  9479, 35752, 59074, 18541, 42881,  2350,
     32085, 54266, 15382, 37561, 65491, 20860, 48784,  4159,
     22118, 63689,  5925, 47498, 54496, 31311, 38307, 15116,
     20343, 57816,  3636, 41115, 52721, 25438, 36018,  8733,
     51336, 26151, 35275, 10084, 18958, 58529,  2893, 42466,
     53657, 32566, 37082, 15989, 21279, 64944,  4700, 48371,
     64170, 21509, 48105,  5446, 30764, 54915, 14703, 38848,
     58299, 19732, 41720,  3159, 24893, 53138,  8318, 36561,
     44236,   611, 60815, 17184, 11850, 32997, 28425, 49574,
     46557,  7026, 62622, 23089, 14171, 39412, 30232, 55479,
     40686, 12353, 57261, 28930,  7272, 45767, 23851, 62340,
     34815, 10576, 50876, 26643,  1401, 43990, 17466, 60053,
     36109,  9122, 52302, 25313,  3979, 41252, 20168, 57447,
     37916, 15027, 54623, 31728,  5786, 47157, 22489, 63862,
     48943,  4480, 65132, 20675, 15785, 37638, 31978, 53829,
     42558,  2193, 59261, 18898,  9400, 35351, 26107, 52052,
     59721, 18406, 43018,  1701, 27599, 50528, 10892, 33827,
     61528, 24311, 45339,  8116, 29406, 56433, 13213, 40242,
     56171, 30148, 39464, 13447, 23021, 63298,  6318, 46593,
     49786, 27861, 33593, 11670, 16636, 61011,   447, 44816,
     17797, 60202,  1222, 43625, 50947, 27052, 34368, 10479,
     23700, 62011,  7639, 45944, 56850, 28861, 40785, 12798,
     30631, 55560, 14052, 38987, 62753, 23438, 46178,  6861,
     28342, 49177, 12277, 33114, 60464, 17055, 44403,   988,
      8641, 36718, 24706, 52781, 41799,  3560, 57860, 19627,
     14544, 38527, 31123, 55100, 47702,  5369, 64277, 21946,
      5091, 48460, 21152, 64527, 37221, 16330, 53286, 32393,
      2802, 42077, 19377, 58654, 34932,  9947, 51511, 26520],
    [    0, 55768, 44973, 30325, 17223, 39583, 60650, 13618,
     34446, 24406, 10531, 61691, 50633,  7185, 27236, 46012,
      4353, 51417, 48812, 26484, 21062, 35742, 65003,  9267,
     38799, 20055, 14370, 57850, 54472,  3344, 31589, 41661,
      8706, 64474, 36271, 21623, 24901, 47261, 52968,  5936,
     42124, 32084,  2849, 54009, 59339, 15891, 18534, 37310,
     13059, 60123, 40110, 17782, 28740, 43420, 57321,  1585,
     46477, 27733,  6688, 50168, 63178, 12050, 22887, 32959,
     17412, 40412, 60329, 12913,  1859, 56987, 43246, 28982,
     49802,  6994, 27943, 46335, 33229, 22549, 11872, 63416,
     21765, 36061, 64168,  9072,  5698, 53146, 47599, 24631,
     54155,  2643, 31782, 42494, 37068, 18708, 16225, 59065,
     26118, 49118, 51627,  4211,  9537, 64665, 35564, 21300,
     57480, 14672, 20261, 38653, 41935, 31255,  3170, 54714,
     30471, 44767, 55466,   370, 13376, 60824, 39917, 16949,
     61833, 10321, 24100, 34812, 45774, 27414,  7523, 50363,
     34824, 20944, 10149, 65149, 52047,  4759, 25826, 48442,
      3718, 55134, 41259, 30963, 19905, 37913, 57964, 15284,
     39177, 16593, 13988, 61308, 55886,   918, 30179, 44091,
      8071, 50783, 45098, 27122, 23744, 34072, 62317, 10933,
     43530, 29650,  1447, 56447, 59725, 12437, 18144, 40760,
     11396, 62812, 33577, 23281, 28611, 46619, 49262,  6582,
     47883, 25299,  5286, 52606, 63564,  8596, 22497, 36409,
     15749, 58461, 37416, 19440, 32450, 42778, 53615,  2231,
     52236,  5588, 25505, 47737, 36683, 22163,  8422, 63806,
     19074, 37722, 58671, 15607,  2501, 53277, 42600, 32688,
     56589,  1237, 29344, 43896, 40522, 18322, 12775, 59455,
     23427, 33371, 62510, 11766,  6340, 49436, 46953, 28337,
     60942, 14294, 16803, 39035, 44361, 29841,   740, 56124,
     26752, 45400, 50989,  7925, 11207, 61983, 33898, 23986,
     65295,  9943, 20642, 35194, 48200, 26000,  5093, 51773,
     31105, 41049, 54828,  4084, 15046, 58142, 38251, 19635],
    [    0, 27757, 55514, 46263, 44457, 49604, 30067,  6430,
     18255, 11042, 40853, 62456, 60134, 34443, 12860, 24145,
     36510, 58099, 22084, 14889,  9015, 20314, 64493, 38784,
     51665, 42428,  4363, 32102, 25720,  2069, 48290, 53455,
       289, 27980, 55803, 46486, 44168, 49381, 29778,  6207,
     18030, 10755, 40628, 62169, 60359, 34730, 13085, 24432,
     36799, 58322, 22373, 15112,  8726, 20091, 64204, 38561,
     51440, 42141,  4138, 31815, 25945,  2356, 48515, 53742,
       578, 28207, 55960, 46837, 45035, 50054, 30513,  7004,
     17677, 10592, 40407, 61882, 59556, 33993, 12414, 23571,
     36060, 57521, 21510, 14443,  8565, 19736, 63919, 38338,
     52115, 43006,  4937, 32548, 26170,  2647, 48864, 53901,
       867, 28430, 56249, 47060, 44746, 49831, 30224,  6781,
     17452, 10305, 40182, 61595, 59781, 34280, 12639, 23858,
     36349, 57744, 21799, 14666,  8276, 19513, 63630, 38115,
     51890, 42719,  4712, 32261, 26395,  2934, 49089, 54188,
      1156, 26857, 56414, 45107, 43309, 50496, 29175,  7578,
     17355, 12198, 39697, 63356, 61026, 33295, 14008, 23253,
     35354, 58999, 21184, 16045, 10163, 19422, 65385, 37636,
     52565, 41272,  5519, 31202, 24828,  3217, 47142, 54347,
      1445, 27080, 56703, 45330, 43020, 50273, 28886,  7355,
     17130, 11911, 39472, 63069, 61251, 33582, 14233, 23540,
     35643, 59222, 21473, 16268,  9874, 19199, 65096, 37413,
     52340, 40985,  5294, 30915, 25053,  3504, 47367, 54634,
      1734, 27307, 56860, 45681, 43887, 50946, 29621,  8152,
     16777, 11748, 39251, 62782, 60448, 32845, 13562, 22679,
     34904, 58421, 20610, 15599,  9713, 18844, 64811, 37190,
     53015, 41850,  6093, 31648, 25278,  3795, 47716, 54793,
      2023, 27530, 57149, 45904, 43598, 50723, 29332,  7929,
     16552, 11461, 39026, 62495, 60673, 33132, 13787, 22966,
     35193, 58644, 20899, 15822,  9424, 18621, 64522, 36967,
     52790, 41563,  5868, 31361, 25503,  4082, 47941, 55080],
    [    0, 47289, 28015, 54742, 56030, 25191, 47025,  3848,
     43425,  4376, 50382, 31863, 29567, 52166,  7696, 42665,
     20319, 63462,  8752, 39561, 38273, 11576, 63726, 16471,
     59134, 24135, 35729, 13096, 15392, 33945, 20815, 59894,
     40638,  9735, 62417, 19304, 17504, 64729, 10511, 37302,
     14111, 36774, 23152, 58057, 60865, 21880, 32942, 14359,
     53729, 26968, 48270,  1079,  2879, 45958, 26192, 57065,
     30784, 49401,  5423, 44438, 41630,  6695, 53233, 30536,
      8545, 39384, 19470, 62647, 64447, 17158, 38608, 11881,
     35008, 12409, 58799, 23830, 21022, 60071, 16241, 34760,
     28222, 54919,   849, 48104, 46304,  3161, 55695, 24886,
     51103, 32550, 43760,  4681,  7489, 42488, 28718, 51351,
     49119,  1894, 53936, 27145, 25857, 56760,  2158, 45271,
      5758, 44743, 31505, 50088, 52384, 29721, 41423,  6518,
     61568, 18489, 40431,  9558, 10846, 37607, 18225, 65416,
     22817, 57752, 13390, 36087, 33791, 15174, 61072, 22057,
     17090, 64123, 12205, 38676, 38940,  8357, 62835, 19914,
     60259, 21466, 34316, 16053, 12733, 35076, 23762, 58475,
      3485, 46372, 24818, 55371, 55107, 28666, 47660,   661,
     42044,  7301, 51539, 29162, 32482, 50779,  5005, 43828,
     56444, 25797, 45331,  2474,  1698, 48667, 27597, 54132,
     30173, 52580,  6322, 40971, 44803,  6074, 49772, 31445,
     37667, 11162, 65100, 18165, 18941, 61764,  9362, 39979,
     14978, 33339, 22509, 61268, 57436, 22757, 36147, 13706,
     25507, 56090,  3788, 46709, 47485,   452, 54290, 27819,
     51714, 29371, 42861,  8148,  4316, 43109, 32179, 50442,
     11516, 37957, 16787, 63786, 63010, 20123, 39757,  9204,
     34141, 15844, 59442, 20619, 24451, 59194, 13036, 35413,
     64797, 17828, 36978, 10443, 10179, 40826, 19116, 61973,
     21692, 60421, 14803, 33130, 36450, 14043, 58125, 23476,
     45634,  2811, 57133, 26516, 26780, 53285,  1523, 48458,
      7139, 41818, 30348, 52789, 49469, 31108, 44114,  5355],
    [    0, 53971, 47547, 27496, 28523, 48568, 54992,  1027,
     57046,  3077, 26477, 46526, 45501, 25454,  2054, 56021,
     41393, 29538,  6154, 51929, 52954,  7177, 30561, 42418,
     32615, 44468, 50908,  5135,  4108, 49887, 43447, 31588,
     24447, 36268, 59076, 13335, 12308, 58055, 35247, 23420,
     33193, 21370, 14354, 60097, 61122, 15377, 22393, 34218,
     65230, 11293, 18293, 38310, 37285, 17270, 10270, 64205,
      8216, 62155, 39331, 19312, 20339, 40352, 63176,  9243,
     48894, 27693,  1861, 54678, 53653,   838, 26670, 47869,
     24616, 45819, 55699,  2880,  3907, 56720, 46840, 25643,
      8015, 52636, 42740, 29735, 28708, 41719, 51615,  6988,
     49561,  4938, 30754, 43761, 44786, 31777,  5961, 50586,
     57729, 13138, 22586, 35561, 36586, 23609, 14161, 58754,
     16215, 60804, 34540, 21567, 20540, 33519, 59783, 15188,
     16432, 37603, 63883, 11096, 12123, 64904, 38624, 17459,
     40678, 19509, 10077, 62862, 61837,  9054, 18486, 39653,
     25057, 45874, 55386,  2697,  3722, 56409, 46897, 26082,
     48951, 28132,  1676, 54367, 53340,   655, 27111, 47924,
     49232,  4739, 31211, 43832, 44859, 32232,  5760, 50259,
      7814, 52309, 42813, 30190, 29165, 41790, 51286,  6789,
     16030, 60493, 34597, 22006, 20981, 33574, 59470, 15005,
     57416, 12955, 23027, 35616, 36643, 24048, 13976, 58443,
     40751, 19964,  9876, 62535, 61508,  8855, 18943, 39724,
     16889, 37674, 63554, 10897, 11922, 64577, 38697, 17914,
     57119,  3532, 26276, 46199, 45172, 25255,  2511, 56092,
       457, 54042, 47218, 27297, 28322, 48241, 55065,  1482,
     32430, 44157, 50965,  5574,  4549, 49942, 43134, 31405,
     41080, 29355,  6595, 51984, 53011,  7616, 30376, 42107,
     32864, 21171, 14811, 60168, 61195, 15832, 22192, 33891,
     24246, 35941, 59149, 13790, 12765, 58126, 34918, 23221,
      8657, 62210, 39018, 19129, 20154, 40041, 63233,  9682,
     65287, 11732, 18108, 37999, 36972, 17087, 10711, 64260],
    [    0, 59366, 54225, 13367, 48063, 23641, 26734, 36744,
     27491, 35973, 47282, 24404, 53468, 14138,   781, 58603,
     54982, 12576,  1303, 58097, 28025, 35487, 48808, 22862,
     48549, 23107, 28276, 35218,  1562, 57852, 54731, 12845,
     45457, 22135, 25152, 34214,  2606, 60872, 55807, 15897,
     56050, 15636,  2339, 61125, 24909, 34475, 45724, 21882,
     26455, 32945, 46214, 21344, 56552, 15118,  3897, 59615,
      3124, 60370, 57317, 14339, 46987, 20589, 25690, 33724,
     32575, 39129, 44270, 19208, 50304,  9062,  5969, 61623,
      5212, 62394, 51085,  8299, 45027, 18437, 31794, 39892,
     43513, 19999, 31272, 40398,  4678, 62880, 49559,  9841,
     49818,  9596,  4427, 63149, 31013, 40643, 43764, 19730,
     52910, 10568,  7551, 64153, 29969, 37623, 42688, 16678,
     42445, 16939, 30236, 37370,  7794, 63892, 52643, 10821,
      6248, 65422, 52153, 11359, 41943, 17457, 28678, 38880,
     29451, 38125, 41178, 18236, 51380, 12114,  7013, 64643,
     65150,  6552, 11695, 51785, 17857, 41511, 38416, 29174,
     38173, 29435, 18124, 41258, 11938, 51524, 64883,  6805,
     10424, 53086, 64361,  7311, 37639, 29921, 16598, 42800,
     17371, 42045, 36874, 30700, 63588,  8066, 11189, 52307,
     20463, 43017, 39998, 31704, 62544,  5046, 10113, 49255,
      9356, 50026, 63325,  4283, 40755, 30933, 19682, 43780,
     39209, 32463, 19192, 44318,  8854, 50544, 61767,  5793,
     62026,  5548,  8603, 50813, 18933, 44563, 39460, 32194,
     33089, 26279, 21136, 46454, 15102, 56600, 59695,  3785,
     59938,  3524, 14835, 56853, 20893, 46715, 33356, 26026,
     22407, 45153, 33878, 25520, 60472,  3038, 16361, 55311,
     15588, 56066, 61237,  2259, 34651, 24765, 21642, 45932,
     12496, 55094, 58113,  1255, 35695, 27785, 22718, 48984,
     23475, 48213, 34914, 28548, 57356,  2026, 13277, 54331,
     58902,   496, 13767, 53793, 23977, 47695, 36472, 27038,
     36213, 27283, 24228, 47426, 14026, 53548, 58651,   765],
    [    0, 29554, 59108, 38294, 53717, 41639, 14129, 17475,
     49079, 52421, 22867, 10785, 28258,  7440, 34950, 64500,
     25459,  4097, 34199, 63205, 45734, 49620, 21570, 10032,
     56516, 44982, 14880, 18770,  3345, 32355, 60405, 39047,
     50918, 46484,  8194, 21360,  5939, 25665, 61911, 33445,
     31057,  2595, 40885, 60615, 43140, 56310, 20064, 15634,
     42389, 55015, 17265, 12291, 29760,  1842, 37540, 57814,
      6690, 26960, 64710, 36788, 52215, 47237, 11539, 24161,
     37329, 58019, 30517,  1095, 16388, 13174, 42720, 54674,
     11878, 23828, 51330, 48112, 65459, 36033,  6487, 27173,
     62114, 33232,  5190, 26420,  9079, 20485, 50579, 46817,
     19733, 15975, 44017, 55427, 40128, 61362, 31268,  2390,
     22327,  9285, 45523, 49825, 34530, 62864, 24582,  4980,
     59520, 39922,  3684, 32022, 14677, 18983, 57265, 44227,
     13380, 18230, 53920, 41426, 58769, 38627,   885, 28679,
     35827, 63617, 27927,  7781, 23078, 10580, 48322, 53168,
     16319, 19661, 55643, 43561, 61034, 40216,  2190, 31740,
     32776, 62330, 26348,  5534, 20957,  8879, 46905, 50251,
     23756, 12222, 47656, 51546, 36121, 65131, 27645,  6287,
     58235, 36873,  1439, 30445, 12974, 16860, 54346, 42808,
     63833, 35371,  8125, 27855, 10380, 23550, 52840, 48410,
     18158, 13724, 40970, 54136, 38715, 58441, 29151,   685,
     39466, 59736, 31950,  4028, 19455, 14477, 44315, 56937,
      9629, 22255, 50041, 45067, 62536, 34618,  4780, 25054,
     44654, 56604, 18570, 15352, 32699,  3273, 39263, 59949,
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